131361 has 4 divisors (see below), whose sum is σ = 175152. Its totient is φ = 87572.

The previous prime is 131357. The next prime is 131363. The reversal of 131361 is 163131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 163131 = 3 ⋅54377.

It is a cyclic number.

It is not a de Polignac number, because 131361 - 2² = 131357 is a prime.

It is a Leyland number of the form 17² + 2¹⁷.

It is a D-number.

It is a Curzon number.

131361 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 131361.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131361.

It is not an unprimeable number, because it can be changed into a prime (131363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21891 + ... + 21896.

It is an arithmetic number, because the mean of its divisors is an integer number (43788).

2¹³¹³⁶¹ is an apocalyptic number.

It is an amenable number.

131361 is a deficient number, since it is larger than the sum of its proper divisors (43791).

131361 is an equidigital number, since it uses as much as digits as its factorization.

131361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43790.

The product of its digits is 54, while the sum is 15.

The square root of 131361 is about 362.4375808329. The cubic root of 131361 is about 50.8341401526.

Adding to 131361 its reverse (163131), we get a palindrome (294492).

The spelling of 131361 in words is "one hundred thirty-one thousand, three hundred sixty-one".